87215581440 has 1152 divisors, whose sum is σ = 372099571200. Its totient is φ = 19110297600.

The previous prime is 87215581433. The next prime is 87215581507. The reversal of 87215581440 is 4418551278.

87215581440 is a `hidden beast` number, since 8 + 7 + 21 + 5 + 581 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 145117140 + ... + 145117740.

It is an arithmetic number, because the mean of its divisors is an integer number (323003100).

Almost surely, 2^87215581440 is an apocalyptic number.

87215581440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87215581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186049785600).

87215581440 is an abundant number, since it is smaller than the sum of its proper divisors (284883989760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87215581440 is a wasteful number, since it uses less digits than its factorization.

87215581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 87215581440 in words is "eighty-seven billion, two hundred fifteen million, five hundred eighty-one thousand, four hundred forty".